Betting on Gilbert-Elliot channels

Authors:
Amine Laourine;Lang Tong
Affiliations:
School of Electrical and Computer Engineering, Cornell University, Ithaca, NY;School of Electrical and Computer Engineering, Cornell University, Ithaca, NY
Venue:
IEEE Transactions on Wireless Communications
Year:
2010

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Abstract

In this paper a communication system operating over a Gilbert-Elliot channel is studied. The goal of the transmitter is to maximize the number of successfully transmitted bits. This is achieved by choosing among three possible actions: (i) betting aggressively by using a weak code that allows transmission with a high data rate but provides no protection against a bad channel, ii) betting conservatively by using a strong code that perfectly protects the communication against a bad channel but does not allow a high data rate, iii) betting opportunistically by sensing the channel for a fixed duration and then deciding which code to use. The problem is formulated and solved using the theory of Markov decision processes (MDPs). It is shown that the optimal strategy has a simple threshold structure. Closed form expressions and simplified procedures for the computation of the threshold policies in terms of the system parameters are provided.